using template function on vector of vector string , bubble sort only partially sorting

Question

my output is below, bubble sort partially sorting, 'Battle Start Galatica' is one string

before sorting,

cats dogs monkey pear bears beat beets Battle Start Galatica bear bears be bee zebra cantaloupe cactus

after sorting,

bear bears be bears beat beets Battle Start Galatica bee zebra cantaloupe cactus cats dogs monkey pear

Hello, World!

#include <iostream>
#include <vector>
#include "Sort.h"

int main() {
  std::vector<std::vector<std::vector<std::string> > >
  v1{ {{"cats", "dogs", "monkey", "pear"}, {"bears", "beat", "beets", 
        "Battle Start Galatica"}},
      {{"bear", "bears", "be"}, {"bee", "zebra"}, {"cantaloupe", 
        "cactus"}}};

  std::cout << "before sort" << std::endl;
  std::cout << v1 << std::endl;

  sort(v1);

  std::cout << "after sort" << std::endl;
  std::cout << v1 << std::endl;
  std::cout << "Hello, World!" << std::endl;
  return 0;
}

i turn the vector into a vector and try and sort it using bubble sort

template <typename T>
void sort(std::vector<T>& v)
{
  for(int i = 0; i < v.size();i++)
  {
      bool swapped = false;
      for(int j = 0; j < v.size()-i-1;j++)
      {
          if(v[j]>v[j+1])
          {
              swap(v,j,j+1);
              swapped = true;
          }
      }
      if(!swapped) break;
  }
}

with the following swap method

template <typename T>
void swap(std::vector<T>& v, int i, int j)
{
    T temp = v[i];
    v[i] = v[j];
    v[j] = temp;
}

What method will sort completely or what method in addition to bubble?